Question

for what value of X the mode of following data is 5 the data is 2,4,3,5,4,5,6,4,x,7,5

Answer 1

5 because mode is the no. coming maximum times

Answer 2

The value of x must be 5, so that given data set 2,4,3,5,4,5,6,4,x,7,5 have mode of 5.

Solution:

We need to find value of x so that mode of the given data is 5.

Given data is as follows

2,4,3,5,4,5,6,4,x,7,5

Let’s first find frequency of each number (number of times numbered appeared in the given data )  

Frequency of 2 is 1

Frequency of 3 is 1

Frequency of 4 is 3

Frequency of 5 is 3

Frequency of 7 is  1

As mode is the value which occurs maximum time, right now two possible modes are 4 and 5 both appearing 3 times in the data.  

So if x = 5 that frequency of 5 will increase from 3 to 4 and mode of the given data set will become 5 having maximum frequency of 4.  

Hence value of x must be 5, so that given data set have mode of 5.